Describe and compare the solution sets of x, +4x₂ - 7x₂ = 0 and x₂ + 4x₂ - 7x₂ = −8₂ X₂ Describe the solution set, x= x₂ of x₁ +4x₂ - 7x3 = 0 in parametric vector form. Select the correct choice below and fill in the answer boxes within your choice. x (Type an integer or fraction for each matrix element.) OA x= B. X=X3 C. x=x₂ O D. x= B. X= C. x= -4 OD. x=x₂ +x₂ Describe the solution set, x= x₂. of x₂ + 4x₂ x3 (Type an integer or fraction for each matrix element.) A x= 0 +x₂ -6 0 0 X₂ +%₂ +x₂ X₂ -4 1 +x₂ 0 Which option best compares the two equations? 7x3 = -8 in parametric vector form. Select the correct choice below and fill in the answer boxes within your choice. OA. The solution set of the second equation is a plane perpendicular to the line that is the solution set of the first equation. B. The solution set of the second equation is a line parallel to the line that is the solution set of the first equation. O C. The solution set of the second equation is a plane parallel to the plane that is the solution set of the first equation. O D. The solution set of the second equation is a plane parallel to the line that is the solution set of the first equation.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.3: Matrix Algebra
Problem 85E: Determine if the statement is true or false. If the statement is false, then correct it and make it...
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Describe and compare the solution sets of x, +4x₂ - 7x₂ = 0 and x₁ +4x₂ - 7x = -6.
X₂
Describe the solution set, x= x₂ of x₁ +4x₂ - 7x3 = 0 in parametric vector form. Select the correct choice below and fill in the answer boxes within your choice.
+1
(Type an integer or fraction for each matrix element)
OA X=
OB. X=X3
-4
C. x=x₂ 1 +x3
0
OD. X= +₂
X₁
44
‚ of x₁ + 4x₂ − 7x3 = -6 in parametric vector form. Select the correct choice below and fill in the answer boxes within your choice.
x3
(Type an integer or fraction for each matrix element)
OA. X=
OB. X=
Describe the solution set, x= x₂
c. x=
+x3
-6
0+%₂
0
OD. x=x₂+x₂
0
+%3
7
Which option best compares the two equations?
O A. The solution set of the second equation is a plane perpendicular to the line that is the solution set of the first equation.
O B. The solution set of the second equation is a line parallel to the line that is the solution set of the first equation.
O C. The solution set of the second equation is a plane parallel to the plane that is the solution set of the first equation.
O D. The solution set of the second equation is a plane parallel to the line that is the solution set of the first equation.
O
Transcribed Image Text:Describe and compare the solution sets of x, +4x₂ - 7x₂ = 0 and x₁ +4x₂ - 7x = -6. X₂ Describe the solution set, x= x₂ of x₁ +4x₂ - 7x3 = 0 in parametric vector form. Select the correct choice below and fill in the answer boxes within your choice. +1 (Type an integer or fraction for each matrix element) OA X= OB. X=X3 -4 C. x=x₂ 1 +x3 0 OD. X= +₂ X₁ 44 ‚ of x₁ + 4x₂ − 7x3 = -6 in parametric vector form. Select the correct choice below and fill in the answer boxes within your choice. x3 (Type an integer or fraction for each matrix element) OA. X= OB. X= Describe the solution set, x= x₂ c. x= +x3 -6 0+%₂ 0 OD. x=x₂+x₂ 0 +%3 7 Which option best compares the two equations? O A. The solution set of the second equation is a plane perpendicular to the line that is the solution set of the first equation. O B. The solution set of the second equation is a line parallel to the line that is the solution set of the first equation. O C. The solution set of the second equation is a plane parallel to the plane that is the solution set of the first equation. O D. The solution set of the second equation is a plane parallel to the line that is the solution set of the first equation. O
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